Question

would (a^2b^2c)/(a^5c^2) and (a^3b)/(c^4) simplified and written only with positive exponents be: b^3/c^5?

Answer 1

if you are multiplying those two fractions, then yes.

Answer 2

a^2*b^2*c*a^3*b a^5*b^3*c b^3
--------------- = ---------- = -----
a^5*c^2*c^4 a^5*c^6 c^5